Looking for information on how to repair drywall. The drywall taping in my house was not done properly now it is cracking and I was wondering how I would go about fixing it. Any advice would be greatly appreciated.

Use a sharp pointed tool - and lightly etch out the crack. V it open so the compound will bond both sides. You can see how deep the crack is - You need to put some light weight one-time spackling into the crack. Only apply enough to fill the crack. Then re-paint.